Answer:
<em>It will occur zero times between midnight and one o'clock.</em>
Step-by-step explanation:
<u>Least Common Multiple (LCM)</u>
Three events keep James from sleeping: his clock ticking every 20 seconds, a tap dripping every 15 seconds, and his dog snoring every 27 seconds.
All three events happened together at midnight. They will happen together again the first time the numbers 20, 15, and 27 have a common multiple. This is the LCM.
List the prime factors of each number:
20: 2,2,5
15: 3,5
27: 3,3,3
Now multiply all the factors the maximum number of times they appear:
LCM=2*2*3*3*3*5=540
(a) All the events will happen together again after 540 minutes.
(b) Since 540 minutes = 9 hours, this event won't happen again until 9 am. Thus, it will occur zero times between midnight and one o'clock.
Answer:
see explanation
Step-by-step explanation:
The area (A) of a regular decagon ( 10 sided ) is calculated as
A = 0.5 × perimeter × apothem
Here side length = 3.25, hence perimeter = 10 × 3.25 = 32.5 m, thus
A = 0.5 × 32.5 × 5 = 81.25 m²
2000-1996=4 forks
2000-1745=255 knives
since there are extra spoons it is reversed-->2116-2000=116 spoons
the owner needs 4 forks,255 knives and there are 116 extra spoons
Answer:
39 buses
Step-by-step explanation:
2,106 ÷ 54 = 39
Answer:
B) 40 necklaces with 25 left over
Step-by-step explanation:
